Numerical study of the one-dimensional quantum compass model

2010/08/31 by S. Mahdavifar, Saeed Mahdavifar · 1 citation
Computer Science · Physics and Astronomy · #Compass #Excitation #Ground state #Lanczos resampling #Phase (matter) #Phase diagram #Physics of Superconductivity and Magnetism #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum phase transition #cond-mat.str-el

paper · pdf · doi:10.1140/epjb/e2010-00255-6

published as Eur. Phys. J. B 77, 77-82 (2010) · 6 pages, 8 figures. arXiv admin note: text overlap with arXiv:1105.2117

openalex publication_date 2010/09/01 · arxiv created 2012/07/25 · arxiv updated 2012/07/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The ground state magnetic phase diagram of the one-dimensional quantum compass model (QCM) is studied using the numerical Lanczos method. A detailed numerical analysis of the low energy excitation spectrum is presented. The energy gap and the spin-spin correlation functions are calculated for finite chains. Two kind of the magnetic long-range orders, the Neel and a type of the stripe-antiferromagnet, in the ground state phase diagram are identified. Based on the numerical analysis, the first and second order quantum phase transitions in the ground state phase diagram are identified.

Citations

• The quantum compass chain in a transverse magnetic field
• Quantum phase transition in the quantum compass model
• Monte Carlo simulations of the directional-ordering transition in the two-dimensional classical and quantum compass model
• A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics

Cited by

• The quantum compass chain in a transverse magnetic field